Rational Partial Choice Functions and Their Application to Belief Revision.

Jianbing Ma, Weiru Liu, Didier Dubois

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Abstract

Necessary and sufficient conditions for choice functions to be rational have been intensively studied in the past. However, in these attempts, a choice function is completely specified. That is, given any subset of options, called an issue, the best option over that issue is always known, whilst in real-world scenarios, it is very often that only a few choices are known instead of all. In this paper, we study partial choice functions and investigate necessary and sufficient rationality conditions for situations where only a few choices are known. We prove that our necessary and sufficient condition for partial choice functions boils down to the necessary and sufficient conditions for complete choice functions proposed in the literature. Choice functions have been instrumental in belief revision theory. That is, in most approaches to belief revision, the problem studied can simply be described as the choice of possible worlds compatible with the input information, given an agent’s prior belief state. The main effort has been to devise strategies in order to infer the agents revised belief state. Our study considers the converse problem: given a collection of input information items and their corresponding revision results (as provided by an agent), does there exist a rational revision operation used by the agent and a consistent belief state that may explain the observed results?
Original languageEnglish
Title of host publicationKnowledge Science, Engineering and Management - Proceedings of 8th International Conference, KSEM 2015,
PublisherSpringer
Pages128-140
Number of pages13
ISBN (Electronic)978-3-319-25159-2
ISBN (Print)978-3-319-25158-5
DOIs
Publication statusPublished - 01 Nov 2015
EventThe 8th International Conference on Knowledge Science, Engineering and Management (KSEM15). - ChengDu, China
Duration: 29 Oct 201531 Oct 2015

Publication series

NameLecture Notes in Artificial Intelligence
Volume9403
ISSN (Print)0302-9743

Conference

ConferenceThe 8th International Conference on Knowledge Science, Engineering and Management (KSEM15).
CountryChina
CityChengDu
Period29/10/201531/10/2015

Cite this

Ma, J., Liu, W., & Dubois, D. (2015). Rational Partial Choice Functions and Their Application to Belief Revision. In Knowledge Science, Engineering and Management - Proceedings of 8th International Conference, KSEM 2015, (pp. 128-140). (Lecture Notes in Artificial Intelligence; Vol. 9403). Springer. https://doi.org/10.1007/978-3-319-25159-2_11